Two-dimensional Schrödinger Hamiltonians with Effective Mass in SUSY Approach
arXiv:0712.4262 · doi:10.1016/j.aop.2008.04.004
Abstract
The general solution of SUSY intertwining relations of first order for two-dimensional Schrödinger operators with position-dependent (effective) mass is built in terms of four arbitrary functions. The procedure of separation of variables for the constructed potentials is demonstrated in general form. The generalization for intertwining of second order is also considered. The general solution for a particular form of intertwining operator is found, its properties - symmetry, irreducibility, separation of variables - are investigated.
16 pages
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Cited by in corpus (5)
- Nonlinear Supersymmetric Quantum Mechanics: concepts and realizations
- Position Dependent Mass Oscillators and Coherent States
- Remarks on the Solution of the Position Dependent Mass (PDM) Schrödinger Equation
- New SU(1, 1) Position-Dependent Effective Mass Coherent States for the Generalized Shifted Harmonic Oscillator
- Mapping of Two-Dimensional Schrödinger Equation under the Point Transformation